Classify the pair of angles. Then find the value of x.

3) x = 50, vertical angles.

4) x = 20, supplementary angles

5) x = 14, complimentary angles

Step-by-step explanation:

vertical angles.

vertical angles are equal.

so, you can make this equation:

67 = x + 17

subtract 17 from both sides of the equation

67 - 17 = x + 17 - 17

67 - 17 = x

50 = x

supplementary angles

supplementary angles add up to 180

so, you can make this equation:

7x + 40 = 180

subtract 40 from both sides of the equation

7x + 40 - 40 = 180 - 40

7x = 180 - 40

7x = 140

divide both sides by 7

7x/7 = 140/7

x = 140/7

x = 20

complimentary angles

complimentary angles add up to 90

so, you can make this equation:

4x + 34 = 90

subtract 34 from both sides of the equation

4x + 34 - 34 = 90 - 34

4x = 90 - 34

4x = 56

divide both sides by 4

4x/4 = 56/4

x = 56/4

x = 14

207/8 is the right

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11